The roof

The roof has a spherical canopy with a base diameter of 8 m and a height of 2 m. Calculate the foil area with which the roof is covered when calculating 13% for waste and residues.

Correct answer:

S =  56.8 m²

Step-by-step explanation:

$$\begin{gathered} d=8\text{m} \\ v=2\text{m} \\ \rho =d/2=8/2=4\text{m} \\ {S}_1=2\pi \cdot \rho \cdot v=2\cdot 3.1416\cdot 4\cdot 2\doteq 50.2655{\text{m}}^2 \\ q=100\%+13\%=1+\frac{13}{100}=1.13 \\ S=q\cdot S_1=1.13\cdot 50.2655=56.8{\text{m}}^2 \end{gathered}$$

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